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Matematicheskie Zametki, 2005, Volume 78, Issue 5, Pages 745–747
DOI: https://doi.org/10.4213/mzm2637 (Mi mzm2637) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Extensions of Lie Algebras by Means of the Heisenberg Algebra

S. T. Sadetov

Don State Technical University
Full-text PDF (145 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm2637
Abstract: We prove that extensions of an arbitrary algebra generated by the Heisenberg algebra are inessential after factorization with respect to the center of the Heisenberg algebra. The extensions considered in the paper have a standard description in terms of a pair consisting of a representation and a cohomology class.
Received: 10.11.2003
Revised: 10.03.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 5, Pages 693–695
DOI: https://doi.org/10.1007/s11006-005-0172-2
Bibliographic databases:
UDC: 512.81
Language: Russian
Citation: S. T. Sadetov, “On Extensions of Lie Algebras by Means of the Heisenberg Algebra”, Mat. Zametki, 78:5 (2005), 745–747; Math. Notes, 78:5 (2005), 693–695
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm2637
  • https://www.mathnet.ru/eng/mzm/v78/i5/p745
    • This publication is cited in the following 3 articles:
    1. Bai W., Liu W., “Extensions of Lie Superalgebras By Heisenberg Lie Superalgebras”, Colloq. Math., 153:2 (2018), 209–218  crossref  mathscinet  zmath  isi  scopus
    2. Melcher T., “Heat kernel analysis on semi-infinite Lie groups”, J. Funct. Anal., 257:11 (2009), 3552–3592  crossref  mathscinet  zmath  isi  scopus  scopus
    3. S. T. Sadetov, “On Rational Isomorphisms of Lie Algebras”, Funct. Anal. Appl., 41:1 (2007), 42–53  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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